PPT-Matrix Multiplication and

Graph Algorithms Uri Zwick Tel Aviv University Algebraic matrix multiplication Strassen s algorithm Rectangular matrix multiplication Boolean matrix multiplication Simple reduction to integer matrix multiplication. m. ultiply. t. imes. l. ots. . of. X. 3 x 2 = 6. 5 x 2 = 10. Here are some arrays to show what multiply means.. 3 lots of 2 are 6. 5 lots of 2 are 10. When we multiply, we are. r. eally adding together lots of. Communication Avoiding. Fast. Algorithm for. Sparse Matrix . Multiplication. Part I: Minimizing arithmetic operations. Oded Schwartz. CS294, Lecture #21 Fall, 2011. Communication-Avoiding Algorithms. Start from r.h.s , if there is any carry in any part ,it is to be added to next part.. A B . C D. C*A (D.A + B*C) B*D. 1 2. 4 3. 1*4 1*3+4*2 2*3. 4 11 6. 4+1 1 6. 5 1 6. Create a multiplication table in . Alphabitia. .. Alphabitia. Multiplication Table. . Warm-up. Place the digits 1, 2, 3, 6, 7, 8 in the boxes to obtain. :. Greatest . sum . Least sum . Greatest difference. and . Graph Algorithms. Uri Zwick. Tel Aviv University. February . 2015. Last updated: June 10, 2015. Algebraic matrix multiplication. Strassen. ’s algorithm. Rectangular matrix multiplication. Boolean matrix multiplication. Tamás Herendi, S. Roland Major. UDT2012. Introduction. The presented work is . based on the algorithm by . T. Herendi . for constructing uniformly distributed linear recurring sequences to be used for pseudo-random number . m. movies. v11. …. …. …. vij. …. vnm. V[. i,j. ] = user i’s rating of movie j. n . users. Recovering latent factors in a matrix. m. movies. n . users. m. movies. x1. y1. x2. y2. ... ... …. So what’s new about fractions in Grades 6-8?. SOL 6.4 . The student will . demonstrate multiple representations . of multiplication and division of fractions. . 2. Thinking About Multiplication. 3. Using Matrices Matrix A represents the number of points scored in each quarter for the first 4 games of football played by Frederick High School. Matrix B represents the number of points scored in each quarter for the first 4 games of football played by Thomas Johnson High School. Write a matrix that represents the combined points scored per quarter for the first four games. X X Groups of Multiply Multiplication Multiplied by Double Near double Array Repeated addition Expanded grid Compact grid Long multiplication Partition Place value Vertical multiplication Row Column Approaches of BCG Matrix. Components of BCG Matrix. Applications of BCG Matrix. Advantages of BCG Matrix . Limitations of BCG Matrix . ?. The BCG Matrix . . .. High. Low. Relative position (Market Share). . . 36. X 23. THINK:. 36 X 3. . FIRST. . 36. X 3. 3 X 6 = 1. 8. Carry the one. 3 X 3 = 9 and one more is . 10. Independent Events. 4. Use the multiplication rule for independent events to calculate probabilities.. Calculate . P. (at least one) using the complement rule and the multiplication . rule for . independent events.. Tae Jun Ham. , Sung Jun Jung, . Seonghak. Kim, Young H. Oh, . Yeonhong. Park, . Yoonho. Song, Jung-Hun Park, . Sanghee. Lee, . Kyoung. Park, Jae W. Lee, . Deog-Kyoon. . Jeong. SEOUL NATIONAL.